Some of the most fascinating questions in modern mathematics involve number theory. (A prime number is a number that can be divided only by 1 and itself.) That question has fascinated mathematicians for hundreds of years.

It doesn’t have any particular practical significance, but it’s an intriguing brainteaser in number theory.

The number 2, for example, did not necessarily have to mean 2 cows, 2 coins, 2 women, or 2 ships.

It could also represent the idea of “two-ness.” Modern mathematics, then, deals both with problems involving specific, concrete, and practical number concepts (25,000 trucks, for example) and with properties of numbers themselves, separate from any practical meaning they may have (the square root of 2 is 1.4142135, for example).

Mathematics is the universal language that can describe everything and anything: from music to galaxies orbiting each other.

We are sure, you will choose math research topics that are really interesting for you.

That general approach is now referred to as analysis, a large and growing subdivision of mathematics.

One of the most powerful forms of analysis—calculus—was created almost simultaneously in the early 1700s by English physicist and mathematician Isaac Newton (1642–1727) and German mathematician Gottfried Wilhelm Leibniz (1646–1716).

C., however, mathematicians introduced a new concept to their study of numbers.

They began to realize that numbers could be considered as abstract concepts.

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